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Finding the Fourth Proportional to 92,420.73, 138,546.81 and 33,242.81

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Solution

The fourth proportional to 92,420.73, 138,546.81 and 33,242.81 is: 49,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,420.73 : 138,546.81 = 33,242.81 : x
  2. Step 2: Convert to fraction form
    92,420.73/138,546.81 = 33,242.81/x
  3. Step 3: Cross multiply
    92,420.73x = 138,546.81 × 33,242.81
  4. Step 4: Simplify right side
    92,420.73x = 4,605,684,588.20
  5. Step 5: Solve for x
    x = 4,605,684,588.20/92,420.73
  6. Step 6: Final answer
    x = 49,833.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.